The alternative Clifford algebra of a ternary quadratic form

被引：0
作者：
Chapman, Adam [1 ]
Vishne, Uzi [2 ]
机构：
[1] Tel Hai Coll, Dept Comp Sci, IL-12208 Upper Galilee, Israel
[2] Bar Ilan Univ, Dept Math, Ramat Gan, Israel
来源：
COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 10期
基金：
以色列科学基金会;
关键词：
Alternative algebras; Clifford algebras; octonion algebras; quadratic forms;
D O I：
10.1080/00927872.2019.1572178
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the alternative Clifford algebra of a nondegenerate ternary quadratic form is an octonion ring whose center is the ring of polynomials in one variable over the field of definition.
引用
收藏
页码：3987 / 3994
页数：8
相关论文
共 50 条
  • [1] Solving Some Quadratic Diophantine Equations with Clifford Algebra
    G. Aragón-González
    J. L. Aragón
    M. A. Rodríguez-Andrade
    Advances in Applied Clifford Algebras, 2011, 21 : 259 - 272
  • [2] Solving Some Quadratic Diophantine Equations with Clifford Algebra
    Aragon-Gonzalez, G.
    Aragon, J. L.
    Rodriguez-Andrade, M. A.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2011, 21 (02) : 259 - 272
  • [3] 8 dimensional quadratic forms for which the index of the Clifford algebra is 8
    Laghribi, A
    K-THEORY, 1997, 12 (04): : 371 - 383
  • [4] Norms and gauges on Clifford Algebra
    Coyette, Cecile
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (10) : 4355 - 4376
  • [5] The Structure of the Clifford Algebra
    Pierre Anglès
    Advances in Applied Clifford Algebras, 2009, 19
  • [6] Clifford algebra of an antiautomorphism
    Cortella, Anne
    JOURNAL OF ALGEBRA, 2007, 314 (01) : 252 - 266
  • [7] The Structure of the Clifford Algebra
    Angles, Pierre
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2009, 19 (3-4) : 585 - 610
  • [8] Quadratic forms and Clifford algebras on derived stacks
    Vezzosi, Gabriele
    ADVANCES IN MATHEMATICS, 2016, 301 : 161 - 203
  • [9] On the Unification of Interactions by Clifford Algebra
    Pavsic, Matej
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2010, 20 (3-4) : 781 - 801
  • [10] On the Unification of Interactions by Clifford Algebra
    Matej Pavšič
    Advances in Applied Clifford Algebras, 2010, 20 : 781 - 801
12345